High-order finite-element framework for the efficient simulation of multifluid flows - Feel++ Accéder directement au contenu
Article Dans Une Revue Mathematics Année : 2018

High-order finite-element framework for the efficient simulation of multifluid flows

Résumé

We present in this paper a comprehensive framework for the simulation of multifluid flows based on the implicit level-set representation of interfaces and on an efficient solving strategy of the Navier-Stokes equations. The mathematical framework relies on a modular coupling approach between the level-set advection and the fluid equations. The space discretization is performed with possibly high-order stable finite elements while the time discretization features implicit Backward Differentation Formulae of arbitrary order. This framework has been implemented within the Feel++ library, and features seamless distributed parallelism with fast assembly procedures for the algebraic systems and efficient preconditioning strategies for their resolution. We also present simulation results for a three-dimensional multifluid benchmark, and highlight the importance of using high-order finite elements for the level-set discretization for problems involving the geometry of the interfaces, such as the curvature or its derivatives.
Fichier principal
Vignette du fichier
multifluid.pdf (1.91 Mo) Télécharger le fichier
Origine Fichiers produits par l'(les) auteur(s)
Loading...

Dates et versions

hal-01865602 , version 1 (31-08-2018)

Identifiants

Citer

Thibaut Métivet, Vincent Chabannes, Mourad Ismail, Christophe Prud'Homme. High-order finite-element framework for the efficient simulation of multifluid flows. Mathematics , 2018, 6 (10), ⟨10.3390/math6100203⟩. ⟨hal-01865602⟩
272 Consultations
86 Téléchargements

Altmetric

Partager

Gmail Mastodon Facebook X LinkedIn More